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单词 mid-ordinate
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mid-ordinate
mid-ordinate n. Mathematics an ordinate erected at the midpoint of a narrow range of values of the abscissa; chiefly in mid-ordinate rule a method of approximating the area under a curve by dividing it into a number of vertical strips of equal width, erecting the mid-ordinate in each strip, and then multiplying the width of each strip by the sum of the mid-ordinates (which effectively takes the height of each mid-ordinate as approximating the value of the curve throughout its strip).
ΚΠ
1892 Ann. Math. 6 108 As the length of the chord converges to zero, the altitude of the triangle for x = u converges to the mid-ordinate of the segment of the osculating circle on that chord.
1905 Biometrika 4 236 Adopting Professor Pearson's method (mid-ordinate formula) the following equations for parabolas of the third order were obtained.
1908 F. Castle Man. Pract. Math. xix. 406 (heading) Mid-ordinate rule.
1949 A. C. Walshaw Heat Engines (ed. 3) iii. 78 An indicator diagram is divided into 10 equal strips and the sum of the mid-ordinates of the 10 strips is 7.77 in.
1989 A. C. Davies Sci. & Pract. Welding (ed. 9) I. iv. 194 The energy represented by the first area is i12R × t/n (mid-ordinate rule for areas).
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